Least Common Multiple of 46/532, 98/878, 554/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/532, 98/878, 554/938 quickly i.e. 312179 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/532, 98/878, 554/938 is 312179.

LCM(46/532, 98/878, 554/938) = 312179

LCM of 46/532, 98/878, 554/938

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 46/532,98/878,554/938

Given numbers are 46/532,98/878,554/938

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 46,98,554

Least Common Multiple of Numerators i.e. LCM of 46,98,554 is 624358.

GCF of Denominators means GCF of 532,878,938 as per the given fractions.

GCF of 532,878,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,98,554

LCM of Fractions 46/532,98/878,554/938 is 312179

2 46, 98, 554
23, 49, 277

∴ So the LCM of the given numbers is 2 x 23 x 49 x 277 = 624358

Least Common Multiple of 46,98,554 with GCF Formula

Least Common Multiple of 46,98,554 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,98,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,98,554) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(46,98,554) x common factors =2 x 2 = 4

LCM(46,98,554) = ( 46 × 98 × 554 ) / 4

LCM(46,98,554) = 2497432 / 4

LCM(46,98,554) = 624358


Lets's calculate GCF of 532,878,938

2 532, 878, 938
266, 439, 469

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624358/2

Therefore the LCM of Fractions 46/532,98/878,554/938 is 312179

Greatest Common Factor of 532,878,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,878,938 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 532,878,938 . The biggest common factor number is the GCF number.
So the greatest common factor 532,878,938 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 46/532, 98/878, 554/938

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 46/532, 98/878, 554/938?

Answer: LCM of Numerators as per given numbers 46/532, 98/878, 554/938 is

LCM of Numerators i.e. for 46,98,554 is 624358

GCF of denominators i.e. for 532,878,938 is 2.

Thus, LCM of Fractions is 312179.Finally, LCM of Fractions for 46/532, 98/878, 554/938 is 312179.